The Slater KDP model is solved for all temperatures and with an electric field. Above Tc the specific heat behaves like (T-Tc)^-1/2 and the polarizability like (T-Tc)^-1. There is a first-order phase transition at Tc (latent heat). Below Tc the free energy is simply -|E|d (E=electricfield, d=dipolemoment).
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Élliott H. Lieb (1967) studied this question.
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